Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/4124
Title: Countability Properties of the Pseudocompact-Open Topology on C (X ): A Comparative Study
Authors: Kundu, S.
Garg, Pratibha
Keywords: Function SpaceSeparabilitythe Countable Chain ConditionLindelöfCosmic SpaceSecond Countable$\aleph_0-Space$$\aleph_0-Bounded$
Issue Date: 2007
Publisher: EUT Edizioni Università di Trieste
Source: S. Kundu, Pratibha Garg, "Countability Properties of the Pseudocompact-Open Topology on C (X ): A Comparative Study”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 421–444.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
39 (2007)
Abstract: 
The main goal of this paper is to study the countability
properties, such as the countable chain condition, Lindeöf property
and second countability of the pseudocompact-open topology
on C(X), the set of all continuous real-valued functions on a Tychonoff
space X. But in order to make this study fruitful, these
countability properties of the pseudocompact-open topology are
compared with those of the point-open and compact-open topologies
on C(X).
Type: Article
URI: http://hdl.handle.net/10077/4124
ISSN: 0049-4704
Appears in Collections:Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.39 (2007)

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